Multiwall Rectangular Plates under Transverse Pressure—A Non-Linear Experimental and Numerical Study

Large deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The p...

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Bibliographic Details
Main Authors: Gilad Hakim, Haim Abramovich
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/16/5/2041
Description
Summary:Large deflection of rectangular plates under transverse pressure is described by Föppl–von Kármán equations, which have only approximated solutions. One of these methods is the separation into a small deflection plate and a thin membrane described by a simple third order polynomial expression. The present study presents an analysis to obtain analytical expressions for its coefficients by using the plate’s elastic properties and dimensions. To validate the non-linear relationship between the pressure and the lateral displacement of the multiwall plate, a vacuum chamber loading test is used to measure the plate’s response, with a large number of plates and length–width combinations. In addition, to further validate the analytical expressions, several finite element analyses (FEA) were performed. It has been found that the polynomial expression fairly describes the measured and calculated deflections. This method allows the prediction of plate deflections under pressure as soon as the elastic properties and the dimensions are known.
ISSN:1996-1944